Answer this please
Segment Partitions

9514 1404 393

  E = (-2, -1.5), see attached for a plot

Step-by-step explanation:

We want point E such that ...

  EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4

  (E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4

  4(E -C) = 3(D -C) . . . . . cross multiply

  4E = 3D -3C +4C . . . . isolate E term

  E = (3D +C)/4 . . . . . . . divide by 4 to find E

__

  E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4

  E = (-2, -1.5)

The point is plotted in the attached graph.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

5x10^11 x 65

325 x 10^11

or

325,